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Finding the Fourth Proportional to 19,259.76, 28,869.81 and 9,386.82

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Solution

The fourth proportional to 19,259.76, 28,869.81 and 9,386.82 is: 14,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,259.76 : 28,869.81 = 9,386.82 : x
  2. Step 2: Convert to fraction form
    19,259.76/28,869.81 = 9,386.82/x
  3. Step 3: Cross multiply
    19,259.76x = 28,869.81 × 9,386.82
  4. Step 4: Simplify right side
    19,259.76x = 270,995,709.90
  5. Step 5: Solve for x
    x = 270,995,709.90/19,259.76
  6. Step 6: Final answer
    x = 14,070.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.